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Finding the Fourth Proportional to 823.20, 1,135.59 and 557.66

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Solution

The fourth proportional to 823.20, 1,135.59 and 557.66 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,135.59 = 557.66 : x
  2. Step 2: Convert to fraction form
    823.20/1,135.59 = 557.66/x
  3. Step 3: Cross multiply
    823.20x = 1,135.59 × 557.66
  4. Step 4: Simplify right side
    823.20x = 633,267.44
  5. Step 5: Solve for x
    x = 633,267.44/823.20
  6. Step 6: Final answer
    x = 769.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.